Based on novel data from Hungarian, this paper makes the case that in at least some languages specificational pseudocleft sentences must receive a &#8216;what-you-see-is-what-you-get&#8217; syntactic analysis. More specifically, it is argued that the clefted constituent is the subject of predication (underlyingly base-generated in Spec, Pr), whereas the cleft clause acts as a predicate in the structure. Alongside connectivity effects characteristic of specificational pseudoclefts, we also discuss a range of anti-connectivity effects, which we show to receive a straightforward explanation under the proposed analysis. It follows that attested connectivity effects, in turn, require a semantic, rather than a syntactic account, along the lines of Jacobson (1994) and Sharvit (1999).